Teleportation Topology

Space-Time Topology in Teleportation-Based Quantum Computation

We study the construction of both universal quantum computation and multi-partite entangled states in the topological diagrammatical approach to quantum teleportation. Our results show that the teleportation-based quantum circuit model admits a space-time topological interpretation which makes the construction of both quantum gates and four-partite entangled states more intuitive and simpler. Our results state a deeper link between the space-time non-locality and the quantum non-locality which are the two-fold character of the topological diagrammatical representation.

Teleportation, Braid Group and Temperley--Lieb Algebra

We explore algebraic and topological structures underlying the quantum teleportation phenomena by applying the braid group and Temperley--Lieb algebra. We realize the braid teleportation configuration, teleportation swapping and virtual braid representation in the standard description of the teleportation. We devise diagrammatic rules for quantum circuits involving maximally entangled states and apply them to three sorts of descriptions of the teleportation: the transfer operator, quantum measurements and characteristic equations, and further propose the Temperley--Lieb algebra under local uni…

通过局域测量与经典通信研究态的全局序与拓扑序：利用量子能量隐形传态研究 SPT 相图

Investigating global and topological order of states by local measurement and classical communication: Study on SPT phase diagrams by quantum energy teleportation

提出利用量子能量隐形传态协议与 LOCC，仅凭局域操作复现 Ising 及多种 SPT 模型相图，为实验识别非局域序和相变提供通用框架。

几何与拓扑导向的量子计算：从状态到实时控制的FPGA原型

Geometry- and Topology-Informed Quantum Computing: From States to Real-Time Control with FPGA Prototypes

本书通过几何与拓扑方法，利用FPGA原型实现量子计算的状态、电路与测量的连接，结合拓扑错误校正与实时解码技术，推动混合量子系统的高效运行。